Abstract
Rock nailing of a borehole is considered as a means to reinforce the rock and increase its borehole failure strength. The technique is modeled using Cox’s original shear-lag method. In the continuum sense, nail reinforcement is viewed as a body force that acts as a confinement. The finite element formulation of the reinforced elastoplastic borehole is presented and results from an elastic analysis with stiff nails are compared against existing analytical solutions for elastic rocks with rigid nails. The formulation couples the mechanical behavior of the rock with the nail-rock contact law equation that have to be solved in a coupled manner. The bifurcation condition for borehole failure in a Cosserat elastoplastic rock is subsequently extended to a reinforced borehole for stability analysis.
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References
Cox HL (1952) The elasticity and strength of paper and other fibrous materials. Br J Appl Phys 3:72
Papamichos E (2010) Analysis of borehole failure modes and pore pressure effects. Comput Geotech 37(1–2):141–152
Papamichos E (2011) Stability of nail reinforced wellbores. In: Bonelli S et al (ed) Advances in bifurcation and degradation in geomaterials. Proceedings of the 9th international workshop on bifurcation and degradation in geomechanics. Springer, Porquerolles, France, pp 93–99
Papamichos E, Vardoulakis I (2012) Rock nail reinforcement of a free surface. Int J Numer Anal Meth Geomech 36(2):203–218
Acknowledgments
This work has been performed as a part of the research project “Formation reinforcement for wellbore stability and sand control” funded by the PETROMAKS programme of the Research Council of Norway and BP Norway (Project number 215667/E30).
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Papamichos, E. (2015). Stability and Bifurcation in Reinforced Boreholes. In: Chau, KT., Zhao, J. (eds) Bifurcation and Degradation of Geomaterials in the New Millennium. IWBDG 2014. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-13506-9_12
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DOI: https://doi.org/10.1007/978-3-319-13506-9_12
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